Abstract—Designing and mapping underground
construction works have been doing for years to
meet urgent demands in urbanization process. In
this field, Ground Penetrating Radar (GPR) method
has shown many advantages in determining
underground structures. However, our country has
almost no processing program that meets demands
of processing and interpretation GPR data. This
paper introduced GPRTVN processing program
which was the research result of the Department of
Geophysics for years. This program could process
data of many present GPR equipments and quickly
provide cross sections of existing underground
constructions. It would be very useful for
construction and building investigation companies in
Vietnam.
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TẠP CHÍ PHÁT TRIỂN KHOA HỌC & CÔNG NGHỆ: 97
CHUYÊN SAN KHOA HỌC TỰ NHIÊN, TẬP 2, SỐ 5, 2018
Abstract—Designing and mapping underground
construction works have been doing for years to
meet urgent demands in urbanization process. In
this field, Ground Penetrating Radar (GPR) method
has shown many advantages in determining
underground structures. However, our country has
almost no processing program that meets demands
of processing and interpretation GPR data. This
paper introduced GPRTVN processing program
which was the research result of the Department of
Geophysics for years. This program could process
data of many present GPR equipments and quickly
provide cross sections of existing underground
constructions. It would be very useful for
construction and building investigation companies in
Vietnam.
Từ khóa—Minimum entropy, energy, migration,
processing GPR data
1. INTRODUCTION
PRTVN, the first GPR data processing
software in Vietnam, was designed by the
Department of Geophysics, VNUHCM -
University of Science. The user interface of
GPRTVN was designed for the ease of use with all
controls and options available on the window (Fig.
1). The main window was divided into several
menus. The first menu was located on the top left
of window. This software could read multiple data
formats: *.dt, *.dt1, *.rd3, *.dzt and *.sgy,
measured from many present GPR equipments in
the world.
Received 29-05-2017; Accepted 10-10-2018; Published 20-
11-2018
Nguyen Thanh Van, Nguyen Van Thuan, Dang Hoai Trung,
Vo Minh Triet, Vo Nguyen Nhu Lieu – University of Science,
VNU-HCM
*Email: nvthuan@hcmus.edu.vn
Fig. 1. GPRTVN software
The software could execute all GPR data
processing steps. The first step was the time
correction, noise reduction and gain [5]. The
second one was to determine the electromagnetic
wave velocity by migration methods or hyperbolic
diffraction. The last one is to calculate the size,
depth and showing 2D or 3D cross sections of
objects.
2. MATERIAL AND METHOD
Noise filtering and amplification
Noise filtering and amplification were two
extremely important steps in this data processing.
Noise filtering
Noise was created by the random electron
motion. This was commonly caused by external
noise sources, equipment problems, or traversing
too fast if the odometer was used. Filtering was
generally applied to the data to remove the sytem
noise for the visual quality improvement of the
data [1]. Our GPRTVN software had a lot of noise
filters like: DC remove, frequency filter,
background, flat reflect filter, median filter
Amplification
GPR signals could be rapidly attenuated during
the propagation into the ground. The related
amplitude could be recovered by applying the gain
function to compensate the propagation losses at
higher depths. The purpose of this gain was to
correct the wave front divergence – decay in
GPRTVN – Processing ground penetrating
radar data software
Nguyen Thanh Van, Nguyen Van Thuan, Dang Hoai Trung, Vo Minh Triet, Vo Nguyen Nhu Lieu
G
98 SCIENCE & TECHNOLOGY DEVELOPMENT JOURNAL:
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amplitudes caused by geometric spreading of
electromagnetic waves [1]. There were two gain
filters in our sofware: the gain function and the
AGC.
Migration methods
In seismic, migration methods were used to
move dipping reflections to their true positions and
collapse diffraction [9]. The migration was done
by extrapolating recorded wave field on the ground
to reflecting points wave field at the depth. Hence
the scattered wave field recorded from reflecting
points of converge. Amplitude, shape and phase of
migrated image related to the reflection coefficient
of reflecting boundary. Therefore, migration
showed not only the geologic information but also
the reflection coefficient at the boundary and
physical properties of the rock (Fig. 2).
Fig. 2. (A) Seismic section before migration; (B) Seismic section after migration
Decisive factor in the success of migration was
the accuracy of velocity model in media. In fact,
the wave velocity was very complex, it changes on
both vertical and horizontal directions. The more
complex velocity was the more difficult migration
had. Therefore, selecting migration method
suitable for each geologic media played an
important role in improving the quality of the
migrated section.
GPR method and seismic method had a number
of similarities: the principle of operation was based
on the reflection of waves, the operator and the
two variables on the wave equation played the
same role (Szaraniec, 1976, 1979; Ursin, 1983;
Lee and others, 1987, Zhdanov, 1988) [3,4]. The
similaritiy of the geometrical characteristics
between two such wave fields could be exploited
in the processing of data. Therefore, many
methods in seismic could be applied directly to
processing GPR data if they had the same type of
arranging transceivers [6-8].
To apply poststack migration, we had to use
zero-offset data. Normally, when surveying in the
city, GPR data were recorded by common offset
type by shielded antennas, thus the deviation
caused by distance from transmitter and receiver
was really small (about 10–20 cm). The ratio
between correction time and travel time was less
than 1–2%, so we could neglect the correction
without affecting migration result. Therefore, CO
section in GPR was considered zero-offset section
in seismic.
The migration in GPR and the migration in
seismic had the same purpose. They all helped us
to know the information about the shallow
reflecting the geologic structure, defining the true
velocity of media, shape and size of object, putting
boundary into its real position. The migration is
substantially solving inverse problem in GPR.
Mathematically, the migration was essentially to
solve the problem of the mechanical wave
propagation equation. In practical data processing,
migration is the conducted in computer systems
and programming software, which required the use
of algorithms to approximate the roots of the wave
equations. Each philosophy of migration method
lead to a certain type of algorithm. There were
three most popular algorithm methods applied to
migration: the energy summation of diffraction
wave field – Kirchhoff migration, the 2-D Fourier
transformation – F-K Migration, the wave field
downward continuation – Finite Difference
migration (FD) and Phase Shift Plus Interpolation
migration (PSPI).
Entropy and energy
GPR sections displayed on the computer was
obtained by digital methods in GPR equipments.
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The most common image representation was the
raster pattern, in which the image was represented
as a matrix of points, with the size (mxn) [2].
(1)
The elements in matrix X corresponded to pixel
images and had the value as recorded GPR
amplitude. Therefore, we could apply entropy
standard in image processing to GPR data. To
overcome the limitations in the entropy formula of
Shanon (1948), the entropy of a X image was
approximated by formula [3]:
(2)
According to the definition, the maximum value
of entropy was 1 for the single trace data set when
the data contained only a peak pulse with single-
unit amplitude, as to the N trace sets, the value was
N. In terms of an image, the greater its entropy
was, the more confusing the image target point
was. Vice versa, minimizing the entropy of image
after migration processing could optimize the
focus effect. So the effect of migration processing
could be evaluated by minimum entropy technique
in order to make the focus effect optimal.
On the other hand, energy of X image was
defined as [8]:
; j= 1, 2,, n
(3)
According to the physical principle, a buried
object would create more reflection than
surrounding media, so that its signal would be
increased. However, the recognition of energy was
easily affected by the noise. Therefore, we had to
remove noise in data by moving the average and
the arithmetic average method before calculating
the energy of signal.
The combination of entropy and energy standard
to optimize the migration algorithm is
implemented as follow:
- Step 1: processing GPR data through basic
steps: time correction, noise reducing and
amplification to highlight the important signal.
- Step 2: migrating GPR data with possible
velocity range to calculate the entropy and energy
value.
- Step 3: defining the minimum entropy or
maximum energy value to determine exactly the
electromagnetic wave velocity of media upper of
the object.
3. RESULT AND DISCUSSION
Defining underground electric cable
As soon as the program started, the user clicked
File > Open and chose data formats: *.dt, *.dt1,
*.rd3, *.dzt and *.sgy (Fig. 3a). A window
suddenly appeared, the user clicked on a folder
name and scaned the selected data files. Fig. 3b
showed the raw GPR section of line 26 that was an
transverse line passing through Hoa Hao street,
District 5, HCM City.
Fig. 3. GPR section of T26: (a). File Menu Item; (b). Recorded section;
All filters available within the Processing group
(Fig. 4a), user chose DC remove, dewow,
background, AGC and gained function in the
GPRTVN software to process data. After
processing, we had the image as Fig. 4B.
(B)(A)
100 SCIENCE & TECHNOLOGY DEVELOPMENT JOURNAL:
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Fig. 4. GPR section of T26: (A). Processing MenuItem; (B). Noise reduction section
Using both entropy and energy standard in
Velocity toolbar, we input the velocity range from
0.06 m/ns to 0.14 m/ns (skip factor 0.001 m/ns).
The entropy and energy diagram were shown as
Fig. 5.
Fig. 5. (A). Entropy diagram; (B). Energy diagram
According to the entropy diagram, the
propagation velocity was 0,115 m/ns. This result
was consistent with the result from energy diagram
because of the small error, just 0.001 m/ns.
Migrating T26 by using this value, we obtained the
results as Fig. 6a. Using Analysis toolbar, we
determined that the electric cable was buried at the
position 0.599 m and had the size and depth: 0.11
m and 0.673 m. This calculated size was consistent
with priori information (0.1 m). The error was just
0,01 m. Calculation results were represented as 3D
section. It shows the extension of the pipe as Fig.
6b.
Establishing underground structure map
(water supply pipe)
Data are measured at site Number 5, Alley 85,
Nguyen Hong Street by the Detector Duo
equipment with two shielded antennas 250 MHz
and 700 MHz. The priori information from
Wadeco Company showed that there was a supply
water pipe with the size of Φ = 0.2 m and at 3.0 m
from the edge of the pavement.
The site Number 5 had the size 2 x 3 m2. It
concluded two lines along T9, T12 and two lines
across Nguyen Hong Street T10, T11 (Fig. 7).
Using GPRTVN software, we had the results:
Two cross lines T10 and T11 had two
hyperbolic signals at the positions of 0.5 m and
1.58 m (Fig. 8). Because these two lines were
parallel and separated by 2 m, we could see the
pipeline extended along Nguyen Hong street.
(A)
(B)
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Fig. 6. (A). Migration section; (B). 3D section
Fig. 7. GPR measuring path at site Number 5
Fig. 8. GPR section: (A). Recorded section; (B). Noise reduction and amplification section
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Using GPRTVN software, the size and depth of
underground construction were calculated as
follow:
Hyperbola 1: inputing possible velocity range
from 0.06 m/ns to 0.12 m/ns, the energy diagram
showed that the velocity of media was 0.103 m/ns
(Fig. 9a). Migrating T10 (Fig. 9b), we could
calculate the size and depth of the object: 0.152 m
and 1.04 m (Fig. 11a). Comparing with the priori
information, this object was not the water supply
pipe Φ = 0.2 m. This was a new underground work
that had not been updated into underground map of
Wadeco Company.
Fig. 9. Hyperbola 1: (a). Energy diagram; (b). Migration section
Hyperbola 2: Similar to hyperbola 1, the
calculated velocity was 0.091 m/ns (Fig. 10A).
This result showed that the electromagnetic wave
velocity of media changed not only vertically but
also horizontally. On the same line survey, the
velocity at each position would not be the same.
Migrating T10 (Fig. 10B), we could calculate the
size and depth of object: 0.195 m and 0.722 m
(Fig. 11A). This was the water supply pipe Φ = 0.2
m defined in the underground map of Wadeco
company.
Fig. 10. Hyperbola 2: (a). Energy diagram; (b). Migration section
Two lengthwise lines T9 and T12 did not have
hyperbolic signal. This meant that there were no
underground works across the Nguyen Hong street
.
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Fig. 11. Processing result: (a). 3D cross section; (b). Underground structure drawing
Colligating processing results, we established
the underground construction drawing as Fig. 10b.
This drawing provided completely position, size
and the extension of not only the existing
underground works but also the new underground
works not included in as-built drawing. This result
would supported specialist units remarkably in
designing and installation new underground
structures.
4. CONCLUSION
Construction process often caused a certain
number of discrepancies between the design and
execution. Therefore, to ensure the safety for the
operator as well as the underground construction,
using ground penetrating radar to locate the
underground structure before drilling and digging
was very necessary. However, it should be noted
that GPR was affected significantly by
electromagnetic properties of the survey area.
Furthermore, GPR data interpreting requires
specialist knowledge of data processing and
experience as well as priori information about the
survey area. Therefore, to apply successfully GPR
to the management and maintenance mission, we
had to have a human resource development plan in
order to avoid wasting invested equipments as well
as the limit confusion in data processing.
Our GPRTVN software could read multiple data
formats, measured from many present GPR
equipments in Vietnam: Detector Duo (IDS), Pulse
Ekko (SENSORS & SOFTWARE), Zond-12e
(RADASYS). It integrated multiple filtering,
amplification, migration (using energy and entropy
diagram to define optimal migration section and
correct velocity) so that the size and the depth of
objects could be determined exactly. GPRTVN
will support special units remarkably in designing
and installation new underground structures in
Vietnam.
TÀI LIỆU THAM KHẢO
[1] F. Bostanudin, Computational methods for processing
ground penetrating radar data, PhD Thesis, University of
Portsmouth, 2013.
[2] D. Flores-Tapia, S. Pistorius, “An entropy-based
propagation speed estimation method for near-field
subsurface radar imaging”, EURASIP Journal on Advances
in Signal Processing, vol. 2010, Article ID 636458, 13
pages, 2010.
[3] J. Gazdag, P. Sguazzero, “Migration of seismic data”,
Proceding of the IEE, vol. 72, pp. 1302–1315, 1984.
[4] J. Gazdag, P. Sguazzero, “Migration of seismic data by
phase shift plus interpolation”, Society of Exploration
Geophysicistis , vol. 49, no. 2, pp. 124–131, 1984.
[5] N.T. Van, N.V. Giang, “Ground Penetrating Radar -
Fundamentals and Applications”, VNU Press, Ho Chi
Minh, pp. 111–130, 2013.
[6] N.T. Van, N.V. Thuan, Đ.H. Trung, “Combining F-K
migration and minimum entropy processing GPR data”,
Journal of Geology, no. 341–345, pp. 290–299, 2014.
[7] N.T. Van, N.V. Thuan, Đ.H. Trung, N.V.N. Lieu, V.M.
Triet, N.T. Hoa, “Defined electromagnetic wave velocity
by migration method, minimum entropy and energy
diagram”, Journal of Geology, no. 352–354, pp. 217–228,
2015.
[8] N.T. Van, N.V. Thuan, Đ.H. Trung, “Kirchhoff migration
method and energy diagram in processing ground
penetrating radar”, Science & Technology Development
Journal, vol. 18, no. T5, pp. 42–50, 2015.
[9] O. Yilmaz, “Seismic Data Processing”, Society of
Exploration Geophysics, USA, 1987.
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Phần mềm xử lý dữ liệu ra đa xuyên đất
GPRTVN
Nguyễn Thành Vấn, Nguyễn Văn Thuận, Đặng Hoài Trung, Võ Minh Triết, Võ Nguyễn Như Liễu
Trường Đại học Khoa học Tự nhiên, ĐHQG-HCM
Tác giả liên hệ: nvthuan@hcmus.edu.vn
Ngày nhận bản thảo 29-05-2017; ngày chấp nhận đăng 10-10-2018; ngày đăng 20-11-2018
Tóm tắt—Thiết kế và thành lập bản đồ công trình
ngầm trong đô thị được thực hiện nhiều năm nay để
đáp ứng nhu cầu cấp thiết trong xây dựng các công
trình trong quá trình đô thị hóa. Để thực hiện điều
này, phương pháp ra đa xuyên đất đã thể hiện những
ưu việt khi xác định các đối tượng ngầm. Tuy nhiên,
Việt Nam hầu như chưa có một chương trình xử lý
nào đáp ứng được các yêu cầu xử lý và minh giải tài
liệu GPR. Bài báo giới thiệu chương trình xử lý
GPRTVN, là kết quả nghiên cứu của Bộ môn Vật lý
Địa cầu trong nhiều năm qua. Chương trình có thể
xử lý nhanh dữ liệu của các máy GPR hiện nay và
cung cấp mặt cắt công trình ngầm hiện hữu, phục vụ
hiệu quả cho các công ty liên quan đến xây dựng và
điều tra khảo sát công trình tại Việt Nam.
Từ khóa—entropy cực tiểu, năng lượng cực đại,
dịch chuyển, xử lý dữ liệu GPR